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Unformatted text preview: u = ln x and then use integration by parts 5. Find R cos 2 ( x ) dx . Hint: Use integration by parts. You will end up with something in terms of R sin 2 ( x ) dx . From there, you can use the wellknown identity cos 2 ( x ) + sin 2 ( x ) = 1 to replace the sin 2 ( x ) with something in terms of cos 2 ( x ). You will have an equation with your integral on both sides. You can rearrange and solve for the integral you are looking for. You might also want to look at Section 7.1, Example 6 in the text book....
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 Fall '08
 Burbidge,John
 Calculus, Derivative, Fundamental Theorem Of Calculus, dx

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